Heavy Quark Potential in Lattice QCD at Finite Temperature

Bornyakov, V. G.; Chernodub, M. N.; Koma, Yoshiaki; Mori, Yoshihiro; Nakamura, Y.; Polikarpov, M. I.; Schierholz, G.; Sigaev, D.; Slavnov, A. A.; Stüben, H.; Suzuki, Tsuneo; Uvarov, P.; Veselov, A.I.

doi:10.1142/9789812704269_0041

Cited by 23 publications

(80 citation statements)

References 10 publications

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“…The second is the so-called absolute Landau gauge [4], based 2 on the absolute minimum of (1), see e. g. [5,6,20,23,24,[31][32][33][34][35][36][37][38][39][40][41][42][44][45][46][47][48][49]. An interesting alternative to it will be as the third option the inverse Landau gauge, which attempts to maximize (1) among all possible minima [40,43].…”

Section: Absolute and Inverse Landau Gaugementioning

confidence: 99%

“…Just like in the case of perturbation theory [15], any such treatment is essentially a prescription on how to average correlation functions over the residual gauge orbit. The weight can be anything from an average over the full or residual gauge orbit [16][17][18][19][20][21][22][23][24][25][26][27][28][29], a subset of the residual gauge orbit [4,30] or a δfunction-like weight to select a single representative for each gauge orbit [4][5][6][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49]. The latter is the choice most similar to the perturbative Landau gauge [15].…”

Section: Introductionmentioning

confidence: 99%

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Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge

Maas

2017

Annals of Physics

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Beyond perturbation theory the number of gauge copies drastically increases due to the Gribov-Singer ambiguity. Any way of treating them defines, in principle, a new, non-perturbative gauge, and the gauge-dependent correlation functions can vary between them. Herein various such gauges will be constructed as completions of the Landau gauge inside the first Gribov region. The dependence of the propagators and the running coupling on these gauges will be studied for SU(2) Yang-Mills theory in two, three, and four dimensions using lattice gauge theory, and for a wide range of lattice parameters. While the gluon propagator is rather insensitive to the choice, the ghost propagator and the running coupling show a stronger dependence. It is also found that the influence of lattice artifacts is larger than in minimal Landau gauge.

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Section: Absolute and Inverse Landau Gaugementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge

Maas

2017

Annals of Physics

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“…This is done by introducing some weight function with which to average over this residual gauge orbit. This has been investigated using anything from an average over the full residual gauge orbit [13][14][15][16], a subset of the residual gauge orbit [4,11,14,[17][18][19]] to a δ-function-like weight [5,6,9,15,[20][21][22][23][24][25][26][27][28]. a e-mail: axel.maas@uni-graz.at Here, the case of a class of gauges averaging over a part of the residual gauge orbit will be analyzed, namely averaging over the so-called first Gribov region, to be defined below.…”

Section: Introductionmentioning

confidence: 99%

Gauge engineering and propagators

Maas

2017

EPJ Web Conf.

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Abstract. Beyond perturbation theory gauge-fixing becomes more involved due to the Gribov-Singer ambiguity: The appearance of additional gauge copies requires to define a procedure how to handle them. For the case of Landau gauge the structure and properties of these additional gauge copies will be investigated. Based on these properties gauge conditions are constructed to account for these gauge copies. The dependence of the propagators on the choice of these complete gauge-fixings will then be investigated using lattice gauge theory for Yang-Mills theory. It is found that the implications for the infrared, and to some extent mid-momentum behavior, can be substantial. In going beyond the Yang-Mills case it turns out that the influence of matter can generally not be neglected. This will be briefly discussed for various types of matter.

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“…it peaks at the phase transition and monotonically decreases in the deconfinement phase [3]. Expressions for A, definitions of the propagators D L (p) and D T (p), and relations relations between them are given in [10,11], and [3].…”

Section: A Definitions and Simulation Detailsmentioning

confidence: 99%

The 〈A2〉 asymmetry and longitudinal propagator in lattice SU(2) gluodynamics at T ≃ Tc

Bornyakov¹,

Bryzgalov

Mitrjushkin

2018

Int. J. Mod. Phys. A

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We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two gluon condensate as well as the longitudinal gluon propagator at T Tc in the Landau-gauge SU (2) lattice gauge theory. We show that substantial correlation between the asymmetry and the Polyakov loop as well as the correlation between the longitudinal propagator and the Polyakov loop pave the way to studies of the critical behavior of the asymmetry and the longitudinal propagator. The respective values of critical exponents and amplitudes are evaluated.

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Heavy Quark Potential in Lattice QCD at Finite Temperature

Cited by 23 publications

References 10 publications

Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge

Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge

Gauge engineering and propagators

The 〈A2〉 asymmetry and longitudinal propagator in lattice SU(2) gluodynamics at T ≃ Tc

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